3(y-10)+1=.5(y-8)

Solution for 3(y-10)+1=.5(y-8) equation:

Simplifying
3(y + -10) + 1 = 0.5(y + -8)

Reorder the terms:
3(-10 + y) + 1 = 0.5(y + -8)
(-10 * 3 + y * 3) + 1 = 0.5(y + -8)
(-30 + 3y) + 1 = 0.5(y + -8)

Reorder the terms:
-30 + 1 + 3y = 0.5(y + -8)

Combine like terms: -30 + 1 = -29
-29 + 3y = 0.5(y + -8)

Reorder the terms:
-29 + 3y = 0.5(-8 + y)
-29 + 3y = (-8 * 0.5 + y * 0.5)
-29 + 3y = (-4 + 0.5y)

Solving
-29 + 3y = -4 + 0.5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-0.5y' to each side of the equation.
-29 + 3y + -0.5y = -4 + 0.5y + -0.5y

Combine like terms: 3y + -0.5y = 2.5y
-29 + 2.5y = -4 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
-29 + 2.5y = -4 + 0.0
-29 + 2.5y = -4

Add '29' to each side of the equation.
-29 + 29 + 2.5y = -4 + 29

Combine like terms: -29 + 29 = 0
0 + 2.5y = -4 + 29
2.5y = -4 + 29

Combine like terms: -4 + 29 = 25
2.5y = 25

Divide each side by '2.5'.
y = 10

Simplifying
y = 10